Task prioritization modulates alpha, theta and beta EEG dynamics reflecting proactive cognitive control

Most neuroscientific studies investigating mental effort apply unspecific effort allocation paradigms. In contrast, the present EEG study targets specific effort allocation during task prioritization. Twenty-eight participants performed a cued number classification task during the retention interval of a working memory task including retrospective cues. One of two possible number classifications was done per trial. Each trial started with a cue indicating which of the two tasks would be more important in the upcoming trial. Subjects were told to engage in both tasks, but to concentrate on the important one. Feedback given at the end of each trial was calculated based on task performance, with scores obtained from the relevant task being tripled. Participants performed significantly better in either task when it was important compared to when not. Task prioritization modulates theta, alpha and beta oscillations, predominantly during task preparation. Multivariate pattern analysis revealed that the exact type of the two possible number classifications was decodable, however, decoding accuracy did not depend on task importance. Hemispheric alpha power asymmetries indicating attentional orienting between working memory representations also did not depend on task importance. The findings suggest that task prioritization primarily affects proactive cognitive control on a superordinate level.

www.nature.com/scientificreports/ the low reward condition could be observed. Furthermore, reward-related effects were not only be found during actual task-processing, but also already during the cue-target interval. Here, a stronger desynchronization of alpha activity at central recording sites in the high versus low reward condition was observed in a visual search 13 and a Stroop task 12 . High reward was also found to be related to enhanced amplitudes of the frontal CNV 11,12,14 during the cue-target interval, as well as to an increased parietal P3 14 . Taken together, these results indicate that task importance affects EEG correlates of cognitive control, as well as correlates of the allocation of cognitive resources. The fact that task importance not only affected task processing during the target-response interval, but also preparatory processes during the cue-target interval shows that proactive cognitive control mechanisms are modulated by the EVC. According to the dual mechanisms of control framework 15 , proactive control refers to a processing mode during which task goals are actively maintained, whereas reactive control refers to a late correction mechanism which triggers the maintenance of goals when needed. The results from studies explicitly investigating the influence of reward on pro-versus reactive control using the AX-CPT, a variant of the continuous performance task, indicate that unspecific effort allocation predominantly modulates proactive rather than reactive control [16][17][18][19][20] .
Another important aspect of the question how modulations of task importance affect cognitive processes is which levels of task processing are affected. With respect to how task prioritization is implemented, it is of interest to disentangle the contributions of cognitive control adaptations on a superordinate level on the one side, and on more specific within task level on the other side. The first refers to attentional selection differing one task from another task or differing task-relevant processes from task-irrelevant processes. The latter refers to attentional selection within a task, e.g., between two task stimuli. Behavioral studies show that task prioritization affects attentional resource allocation between tasks [21][22][23][24] . However, to our knowledge it has not yet been investigated if task prioritization, i.e., specific effort allocation, also affects within-task attentional processes.
This issue has, however, been addressed in the context of unspecific effort allocation. A promising approach to investigate the influence of task importance on within-task processes is to decode the EEG signal using multivariate pattern analysis 25,26 . Using a combination of a task switch and a MID paradigm in which the participants had to engage in two different classification tasks, Etzel et al. 27 decoded the classification tasks from fMRI data, for rewarded and unrewarded trials separately. Hall-McMaster et al. 28 applied a similar analysis using EEG data. In both studies, the decoding analysis revealed that activity patterns associated with the classification tasks were more distinct from each other in rewarded than in unrewarded trials. The EEG study furthermore revealed that also task stimuli and response sides were more distinct from each other in case of a high task importance. Hence, in these studies, task importance affected differences at the within-task level.
Another way to isolate within-task processes is to make use of lateralized stimuli. In specific working memory tasks, a retrospective cue (retro-cue) enables the subjects to shift their attention to only one of two laterally presented items held in working memory. Previous research found that such shifts of spatial attention are reflected by hemispheric alpha power asymmetries 29,30 . Task importance has repeatedly been observed to modulate spatial attention reflected by lateralized ERP measures like the N2pc and the CDA 13,31,32 .
The goal of the present study is to investigate task prioritization in a complex task. To our knowledge, there is no study investigating neural correlates of task prioritization, i.e., of the task-specific manipulation of the EVC in a way that some task-relevant processes are more important than others. By using the EEG, we want to address the question in how far pro-versus reactive control modes on the one side, and superordinate versus within-task control processes on the other side are affected by modulations of task prioritization. We use a nested design in which a working memory task is interrupted by a cued number classification task (see Fig. 1). For the working memory task, the subjects must remember two laterally presented stimuli. A retro-cue appearing after the completion of the number classification task then indicates which stimulus needs to be recalled. In the cued number classification task, the cue indicates whether the participants must classify a single digit number as either bigger or smaller than five, or as odd or even. For each trial, one of the two tasks is cued as being more important. A combined feedback score is presented at the end of the trial, with the score obtained from the respective important task being weighted three times as strong as the scores obtained in the less important task. In contrast to previous studies investigating task importance, the general amount of reward that can be earned is the same for each trial. Therefore, the reward cue at the beginning of a trial does indicate when instead of if effort needs to be allocated to maximize the reward.
Behavioral task prioritization research has shown that attentional resources can be willfully allocated to certain aspects of a task or to one of two concurrent tasks [21][22][23][24] . We therefore expect participants to perform more accurate in the working memory task in trials in which the working memory task is more important, and to perform better in the number classification task in trials in which the number classification task is more important.
EEG data were analyzed in two different ways, exploratory and task specific. First, we performed an exploratory analysis on the time-frequency decomposed signal to investigate how task prioritization influences attentional control in general and pro-versus reactive control in specific. Recent research suggests that different ways to manipulate task importance affect attentional control 7,33-35 . We therefore expect task prioritization to not be an exception and to primarily affect low-frequency oscillations which are known to reflect the exertion of cognitive control [36][37][38] . In particular the results from cued reward (MID) paradigms suggest that task importance mainly affects proactive cognitive control 20,28,34,[39][40][41][42] . Since the position of the important task within each trial is known at the beginning of each trial in the present study, we expect task importance to influence oscillatory activity during preparatory time intervals: not only during the relevance cue, but also during other time intervals preceding the start of a task, e.g., during the number classification task cue. Second, we performed task-specific analyses to investigate whether prioritization rather affects superordinate or within-task processes. For the number classification task, we used multivariate pattern analysis to measure the distinguishability of the two different number classification rules in the signal. To understand if task prioritization www.nature.com/scientificreports/ affects how strongly the different task rules are represented in the signal, we decoded the classification type for number classification task important and working memory task important separately. A higher decoding accuracy in trials in which the number classification task is more important than in trials in which it is less important would indicate that task prioritization influence attentional control on a within-task level. As an index of withintask control in the working memory task, the spatial shift of attention within working memory in response to the retro-cue was targeted, which should be reflected in topographical asymmetries of alpha power. Here, we can conclude that task prioritization affects within-task attentional control if the strength of alpha power asymmetry is found to depend on task importance.

Results
Behavioral data. Subjects performed better in either task when it was important compared to when not.
In the number classification task, feedback scores depended on both reaction time and accuracy of answers. Both measures provided therefore an index of task performance. Participants answered significantly faster when the number classification task was important (M = 537.00 ms, SD = 114.13 ms) than when the working memory task was important (M = 562.86 ms, SD = 119.61 ms; t(27) = 5.42, p < 0.01, η = 0.50, d = 1.02). No significant difference between working memory task important (M = 8.66%, SD = 6.38%) and number classification task important trials (M = 8.56%, SD = 5.62%) was found regarding accuracies (t(27) = 0.27, p = 0.79).
In the working memory task, participants were instructed to answer as accurately as possible and only accuracies, not reaction times contributed to feedback scores. Accuracies were measured as the degree deviation between the response orientation given by the participant and the to-be-remembered orientation presented earlier in the trial. Participants answered significantly slower, probably considering their answer more thoroughly, in the working memory task important condition (M = 1368.91 ms, SD = 300.92 ms) than in the number classification task important condition (M = 1292.68 ms, SD = 267.38 ms; t(27) = 5.01, p < 0.01, η = 0.46, d = 0.95). For degree deviations the pattern was reverse, meaning that degree deviations were significantly smaller in the working memory task important condition (M = 11.77°, SD = 4.07°) than in number classification task important condition (M = 13.48°, SD = 5.23°; t(27) = − 3.80, p < 0.01, η = 0.32, d = 0.72).

Mass-univariate analysis of time-frequency decomposed EEG data. A cluster-based permutation
test on decibel-normalized power values in the electrode × time × frequency space comparing the number classification task important and the working memory task important condition resulted in four significant clusters (see Fig. 2). Two clusters, one in the theta range (2-7 Hz) and one in the alpha/beta range (7-20 Hz), subsequently referred to as beta cluster, were significant (theta cluster: p < 0.01, beta cluster: p = 0.02) during and after relevance cue presentation (theta cluster: − 815 to 850 ms relative to relevance cue; beta cluster: − 150 to 1025 ms Figure 1. Schematic illustration of a trial's sequence. Each trial consisted of five parts depicted here by five bright grey columns. The trial started with one of two possible relevance cues indicating which of two tasks would be more important and thus should be focused on during the upcoming trial. Then, participants performed a cued number classification in the retention interval of a working memory task. In the number classification task, participants classified the classification target (one of the digits 1, 2, 3, 4, 6,7,8,9) via left or right button press. The classification cue indicated which of two classifications should be done. In the working memory task, participants used their mouse to rotate a Gabor patch with random orientation (the memory target) in a previously remembered orientation of a memory item. In each trial, two memory items are shown, one on the left and one on the right side of the screen. The memory cue pointed to the side of the memory item which should be used in the memory task. At the end of each trial, participants perceived feedback based on their performance in both tasks. Performance in the more important task was weighted three times stronger than performance in the less important task. The bright grey numbers under the schematic screens indicate stimuli's duration on screen. WM working memory. www.nature.com/scientificreports/ relative to relevance cue). Note that the onset of the theta cluster prior to the presentation of the relevance cue probably arises from temporal smoothing and does not affect later clusters as a condition-general baseline was used. Oscillatory activity was significantly stronger in number classification task important trials than in working memory task important trials in both clusters (see Fig. 2D). The beta cluster (cluster 1 in Fig. 2) showed strongest differences between both experimental conditions at left occipito-parietal, frontal, and right parietal electrode sites (see Fig. 2A), the theta cluster (cluster 2 in Fig. 2) at right parietal sites (see Fig. 2B). In between the onset of the memory items and the start of the number classification task (significant at 2770-5660 ms relative to relevance cue onset), another cluster was significant (p = 0.02) in the theta frequency range (significant at 3 to 9 Hz). This cluster, like the theta cluster during relevance cue, showed stronger values for number clas- www.nature.com/scientificreports/ sification task important trials and was most pronounced at right parietal electrode sites (see Fig. 2C). Finally, a fourth cluster was significant (p < 0.01) in a broad frequency range from 6 to 15 Hz and from 5665 to 7830 ms relative to relevance cue, i.e., during number classification task performance. Differences between experimental conditions in this cluster were most pronounced at parieto-temporal electrodes sites (see Fig. 2E) and in the alpha frequency range (see Fig. 2D). This was the only cluster showing stronger activity for working memory task important than for number classification task important trials. All cluster were significant at nearly all electrodes: The early theta cluster (cluster 2 in Fig. 2) was significant at all channels except TP9, TP10, PO9, PO10, FT9, FT10, C5, the other three cluster were significant at all channels except TP9, TP10, PO9, PO10, FT9, FT10.

Multivariate pattern analysis.
Decoding analyses aimed to unravel in how far within-task processes are affected by task prioritization. Tying in with successful attempts on ERP task rule decoding in the context of task importance according to previous literature 28 , we chose ERP decoding to answer our original research question if within-task features, namely different task rules, are represented stronger or weaker in the signal if a task is important. An additional second decoding analysis based on alpha power (8-12 Hz) was added after we had learned from mass-univariate analysis of time-frequency decomposed EEG data that task prioritization mainly affected activity in the alpha frequency range between 8 and 12 Hz (see Fig. 2D) during number classification task performance. The second analysis aimed to specifically uncover if this observed influence of task importance on alpha power reflects superordinate or within-task processes. In both the original broadband ERP analysis and the follow-up alpha analysis as a consequence to mass-univariate power analysis, we decoded number classification rule (smaller/bigger five vs. odd/even) for working memory task important and number classification task important trials separately. In both cases, decoding was done for a broad time interval covering the whole trial (from relevance cue onset until one second after working memory target onset). Figure 3 shows decoding accuracies averaged over participants. In both cases, ERP decoding (see Fig. 3A) and power decoding (see Fig. 3B), accuracies slightly fluctuate around the chance level at 50% and peak after the onset of the number classification task cue and the number classification task target. Approximately one second after number classification task target onset, curves bottom out at chance level again.
Cluster-based permutation test against chance level revealed a cluster of significant time points during number classification performance for both experimental conditions and both decoding types (ERP decoding, www.nature.com/scientificreports/ working memory task important: p < 0.01, 5680 to 8260 ms; number classification task important: p < 0.01, 5640 to 8500 ms; alpha power decoding, working memory task important: p < 0.01, 5660 to 8120 ms; number classification task important: p < 0.01, 5560 to 7920 ms). As expected for an unbiased classifier, confusion matrices revealed similar decoding accuracies for both classes (mean decoding accuracies averaged over significant time points: ERP decoding, working memory task important, odd/even trials: 0.58, bigger/smaller five trials: 0.58; ERP decoding, number classification task important, odd/even trials: 0.57, bigger/smaller five trials: 0.58; alpha power decoding, working memory task important, odd/even trials: 0.57, bigger/smaller five trials: 0.57; alpha power decoding, number classification task important, odd/even trials: 0.57, bigger/smaller five trials: 0.57). Clusterbased permutation tests which compared number classification task important trials and working memory task important trials resulted in no significant clusters, neither for ERP decoding, nor for alpha power decoding. T tests combined with Bayesian analysis revealed the same pattern of results: Bayesian one-sample t tests comparing chance level against decoding accuracies averaged over-according to cluster-based permutation tests-significant time points revealed that decoding accuracy is significantly above zero in all cases (ERP decoding, working memory task important: Alpha power asymmetry. Hemispheric power asymmetries relative to the trial's working memory retrocue direction are shown in Fig. 4.
More exactly, we quantified asymmetries by subtracting power at the hemisphere contralateral to the cued memory item from power of the hemisphere ipsilateral to the cued memory item. To normalize power values, this was then divided by total power across both hemispheres. This resulted in a lateralization index which is zero if there is no power difference between both hemispheres, positive in case contralateral alpha activity is weaker in the hemisphere in which visual processing of the memory item was done than in the other hemisphere and negative if it is the other way round.
The lateralization index was strongest at around 10 Hz in number classification task important trials and at around 12-15 Hz in working memory task important trials (see Fig. 4C). It was most pronounced for both experimental conditions at occipito-parietal electrode sites (see Fig. 4B). Figure 4A shows the time course across the trial of lateralization indices, averaged over 8-15 Hz and occipito-parietal electrodes, for both experimental conditions. Index values remain close to zero except for a time interval in between the onsets of the working memory retro-cue and the working memory task target in which they are clearly bigger than zero in both trial types. A cluster-based permutation test over time revealed that lateralization indices differed significantly from zero during this interval for both, working memory task important (p < 0.01, 9895 to 10,490 ms relative to relevance cue onset), and number classification task important condition (p < 0.01, 9930 to 10,575 ms relative to relevance cue onset). Another cluster-based permutation test comparing both conditions resulted in no significant clusters throughout the whole trial.
To better understand these effects, t tests and Bayes factors were additionally computed for specific time intervals of interest: A one-sample t test comparing number classification task important lateralization indices with zero was computed on the average over those time points that were significant in the number classification task important vs. zero cluster-based permutation test, i.e., from 9930 to 10,575 ms. This t test was significant

Discussion
In the current study, we investigated neural correlates of mental effort using a dual task paradigm consisting of a working memory and a number classification task. In each trial, subjects were instructed to focus on one of two tasks. At the end of each trial, they received a combined feedback based on their performance in both www.nature.com/scientificreports/ tasks. Performance in the important task was weighted stronger than performance in the unimportant task. As expected, this instruction to adapt mental effort in a task-specific way resulted in significantly better behavioral performance in a task, when it was important than when it was unimportant [21][22][23][24] . The EEG data was analyzed regarding three aspects: (1) Which changes in event-related oscillatory power can generally be observed? (2) Does the mental effort manipulation affect how distinguishable different number classification task types are represented in the signal? (3) Does the mental effort manipulation influence attentional orienting between working memory representations, reflected by alpha power asymmetry in response to a retro-cue? Question one addresses the aspect in how far task prioritization affects proactive vs. reactive control, question two and three in how far task prioritization affects cognitive control at a superordinate vs. a lower within-task level. Question one was approached by an explorative cluster-based permutation test comparing the number classification task important with the working memory task important condition. Significant differences were identified during and after the cue indicating which of the two tasks would be more important. Oscillatory activity in a broad range of frequencies mainly over frontoparietal electrodes was stronger when the number classification task was important than when the working memory task was more important. Effect sizes were most pronounced for theta activity at five Hz at parietal electrodes. To interpret this effect, one has to consider that the relevance cue was different in both experimental conditions and was not counterbalanced across participants. Hence, early visual reward cue processing should be different for both experimental conditions and might result in measurable differences in the EEG. In addition, the fact that cluster 1 and 2 appear across all measured frequency ranges makes it likely that it reflects at least partly TF-transformed differences in ERP amplitude. However, the very modest visual differences between both cues are unlikely to fully explain the effect that our analysis revealed: This Topographic scalp maps of lateralization indices averaged over 8-15 Hz and a time interval starting with working memory task cue onset and ending with working memory task target onset. Electrodes that were used for statistical analysis are marked with a black asterisk; other electrodes are marked with a black dot. As lateralization indices measure the hemispheric difference, scalp maps are per definition symmetric and only one half is displayed here. (C) Frequency distribution of lateralization index around the working memory task cue onset. Vertical lines indicate working memory task cue and working memory task target onset. Times are relative to relevance cue onset. WMT working memory task, NCT number classification task, imp. important. www.nature.com/scientificreports/ effect extends over a time interval of nearly two seconds and over electrodes at nearly the whole scalp. Therefore, we interpret the observed differences to more likely reflect changes of higher-order preparatory processes due to task prioritization than to reflect changes in visual processing due to visual cue differences. Such preparatory processes might involve integration of the reward cue information in the current brain configuration and subsequent top-down biasing 9 , strategic planning of effort allocation for the upcoming trial involving cost-benefit analyses in which the to be invested effort is weighed against the expected reward 4,43 and prospective memory activation as subjects have to plan when instead of if to invest effort. It is plausible that beta and theta oscillatory activity reflect those higher-order preparatory processes. Midfrontal theta is well-known to be involved in the process of flexibly updating the current brain configuration in response to environmental changes 36 and more specifically, pre-stimulus fronto-parietal theta has been interpreted to reflect goal updating 44 and top-down task preparation 45,46 . In MEG 47 and EEG 48 studies in which a relevance cue indicates if an upcoming trial will be rewarded or not, theta and beta power modulations in response to the cue have been found. This suggests that the integration of reward information in the current task set can indeed be reflected by oscillations in the theta and beta range. Another significant cluster was found in the time interval between the presentation of the working memory items and the start of the number classification task. In this time interval, event-related theta power throughout the whole scalp was significantly stronger in number classification task important condition than in working memory task important condition. The effect was strongest at frontoparietal electrodes. Regarding the working memory task, this contrasts with recent literature. Theta power is well-known to be related to encoding processes and to the maintenance of task-relevant information 49 . However, theta power is usually increased in trials with a better performance 38 , whereas in the current study, theta power is weaker in the condition associated with a better working memory performance. In addition, Kawasaki and Yamaguchi 50 found that high reward increased eventrelated theta power at frontal electrodes during the retention interval. As the result pattern is the opposite here, the observed modulations of theta power might reflect effort-related modulations of proactive cognitive control related to the number classification task. In line with this idea, frontoparietal 51,52 and frontal theta power 53 has been observed to be increased in response to a cue indicating a larger need for cognitive control in the upcoming trial compared to cues indicating that cognitive control will be needed to a lesser extent. Therefore, the increase in theta could reflect stronger goal updating and task preparation when the number classification task is more important compared to when the working memory task is more important.

Scientific Reports
Finally, a modulation of event-related frontoparietal alpha power was observed during the performance of the number classification task. Alpha power was reduced when the number classification task was important. This effect was strongest during the number classification task's cue-target interval.
Overall, the observed modulations of event related spectral power changes related to the experimental manipulation occurred mainly in time intervals not directly related to task processing, that is not as an immediate response to imperative stimuli. These modulations are therefore likely to reflect proactive cognitive control.
Although there are alternative explanations for every single cluster, due to the arguments outlined above we consider proactive cognitive control to be the most likely explanation, respectively.
While the exploratory analysis in time-frequency space mainly revealed when during the trial the experimental manipulation affected task processing, multivariate pattern analyses brought some insight regarding the question on which level effort affects task processing. In this analyses, we decoded from the EEG data whether an odd versus even or a smaller versus bigger five classification needed to be done in the number classification task, specifically addressing the question how strongly the difference in between both number classification task types is represented in the signal and if the effect of task prioritization gets through to lower-level, within-task processes of the number classification task or stays on a more general, superordinate level. In a first analysis, classifiers were trained for each time point throughout the trial using ERP data. We observed above-chance decoding accuracies for the time interval of the number classification task, indicating that the type of the number classification task is generally decodable from the EEG scalp topography. However, the observed classifier accuracy did not differ between experimental conditions, suggesting that task importance did not affect the distinguishability of the task representations in the EEG signal. Hence, using this analysis, we could not find an influence of task prioritization on lower within-task level processes.
As a follow-up to the univariate power analysis, we did the same decoding analysis for alpha power topographies as, during the number classification task, reward seems to mainly have an influence in the alpha frequency range according to the cluster-based permutation test described above. A potential effect of task importance on number classification task type might be more pronounced when restricting the signal to the relevant frequency range. In fact, with alpha power, we obtained the same result than with ERP data: Classification type was decodable throughout the whole time interval during which the number classification task was done but not in other time intervals of the trial and task importance did not influence this decodability. This null finding helps to further interpret the significant difference in alpha activity between the number classification task important and working memory task important condition obtained in the cluster-based permutation test: The condition difference in alpha activity seems to not reflect condition differences at a within-task level, i.e., differences in rule-specific task preparation and task processing. It rather seems to reflect resource allocation on a more superordinate level.
However, it remains speculative to better define these superordinate processes underlying the alpha effect obtained in the cluster-based permutation test. Alpha power is thought to reflect attentional biasing [54][55][56][57] . A decrease of scalp alpha is often observed when attention is directed to visual objects whereas an increase in scalp alpha appears when attention is directed to internal thoughts, mind-wandering and mental imagery 38,[58][59][60] . In accordance with this, we could explain the increase in alpha during the number classification task when the working memory task is important by both, an enhanced shielding of the to-be-remembered working memory representation and, by decreased attention to the number classification task. The first interpretation is supported www.nature.com/scientificreports/ by behavioral multitasking studies in which task prioritization has been found to lead to protection of the prioritized task against interference from a second task 21,24,61 . The second interpretation is supported by previous studies revealing that a decrease of alpha power in the case of high task importance has been observed repeatedly for single tasks, hence in situations where no dual task shielding is necessary 12,13,62 . Furthermore, as the alpha effect is most pronounced at parieto-temporal electrodes and is slightly stronger over the left hemisphere (i.e., contralateral to the response hand), the effect might to a large degree reflect pre-motor and motor preparation for the number classification task. The most likely explanation is that in our study, processes related to the working memory and to the number classification task contribute to the alpha effect. This is supported by the observation that the effect is time-locked to the start of the number classification task, hence, to the start of the dual-task time period.
To sum up, although it remains a matter of debate if the condition difference in alpha activity reflects shielding of the working memory task or an attentional strengthening of the number classification task, we can conclude that the difference underlies a rather general, superordinate resource allocation process which does not generalize to a lower within-task level.
In a third analysis, we investigated such a within-task process in the working memory task. More specifically, we analyzed the hemispheric asymmetry of alpha activity in response to a retro-cue indicating which of two items hold in working memory should be remembered and which could be forgotten. Earlier research indicates that this asymmetry reflects a shift of attention toward the cued working memory representation 29,30 . A significant lateralization of alpha power with higher power ipsilateral to the cued site was observed, but this effect was unaffected by task importance.
One possible explanation is that processes at within-task levels are generally not affected by task prioritization. This fits with the other results obtained in this study. However, there are other possible explanations: It is possible that the late time interval of the trial was not affected at all-on neither level-as earlier, proactive resource allocation was sufficient to efficiently allocate effort between tasks. This interpretation is in line with the finding that reward in working memory tasks often has its strongest influence during encoding and maintenance 4,63,64 . To conclude, our finding is in line with the assumption that task prioritization mainly exerts its influence on proactive and superordinate attentional control processes. Future research might further specify how effort affects working memory processes in general and attentional orienting between working memory representations in specific.

Conclusion
To sum up, in contrast to previous neuroscientific research in this field, we here manipulated mental effort in a task prioritization paradigm. Although we used a new manipulation of effort allocation, the goal of the current study was not to directly compare different types of task importance operationalizations as has been done before 33,35,65 . Instead, we aim to extend the findings of previous studies to a broader context. Our results enable to understand neural mechanisms underlying task prioritization mainly regarding two aspects: First, the task involved several task cues allowing to isolate proactive cognitive control processes. Our results indicate that task prioritization mainly affects task preparation, i.e., proactive control. In this context, we show that effects of task importance on theta oscillations are not restricted to the time interval directly following reward cue processing as found in earlier studies 47,48 . Instead, here, we found a modulation of theta activity that seems to reflect preparation of the upcoming task and is completely independent of reward cue processing. Second, we ask if task prioritization rather affects superordinate strategic processes or task-related activity. Results suggest that task prioritization rather affects general cognitive control at superordinate levels instead of within-task attentional selection.
In this context, it is important to add that our results do not exclude that task prioritization affects reactive control or lower level within-task processing. We used a limited set of methods to target within-task processing. If we had used different attempts, we might have found such an influence and our null findings regarding hemispheric alpha asymmetries and ERP decoding can be interpreted in many different ways. However, our exploratory mass-univariate power analysis revealed a much stronger influence on preparatory time intervals than on task processing intervals. Only one cluster emerged during task processing time intervals, and regarding its underlying effect, alpha power decoding clearly points towards an explanation in terms of superordinate resource allocation instead of within-task processes. This pattern of results indicates that indeed preparatory and superordinate level processes play a more important role in task prioritization than task processing itself. As in every neuroscientific study, we also have to consider that EEG measures brain activity in a biased way 66 and that our results need further confirmation using other neuroscientific methods.
In a nutshell, we found that task prioritization modulates on the one hand task preparation, reflected mainly in theta oscillatory activity, and on the other hand resource allocation during task processing, reflected in alpha oscillations. Hence, according to our results, preparative instructions how to direct one's focus in dual task situations to a larger extend modulate strategic planning and attentional resource allocation across tasks than facilitating task processing itself.

Methods
Participants. Twenty-eight volunteers (9 men, 19 women) with a mean age of 23.13 years (SD = 3.64), with normal or corrected to normal vision and with no psychological or neurological diseases were included in the experiment. All of them were right-handed according to the Edinburgh Handedness Inventory 67 . The experiment was approved by the Ethical Committee of the Leibniz Research Centre for Working Environment and Human Factors and was conducted in accordance with the Declaration of Helsinki. All participants gave their written informed consent prior to the beginning of the experimental procedure. Please find additional information in the methods section in the supplementary material. www.nature.com/scientificreports/ Procedure. In each trial, participants performed both a number classification and a working memory task.
These tasks were framed by a relevance cue and a feedback screen, both supporting participants to adapt their mental effort in a task-specific way throughout the trial (see Fig. 1). Each trial started with a relevance cue indicating on which of the two tasks participants should focus their attention in the following trial. The cue was a triangle with either the number five in it (indicating that the number classification task should be focused) or a triangle with vertical stripes indicating that the working memory task should be focused (see Fig. 1). The relevance cue was presented for 500 ms and was followed by a fixation dot for 2500 ms. After that, the working memory task started with two Gabor patches (memory items) appearing on the left and right side of the screen for 400 ms, followed by a fixation dot for 2200 ms. Participants were instructed to remember the orientation of both patches. During the retention interval of the working memory task, participants performed a cued number-classification task, in which they classified a digit (number classification task target) as either smaller or bigger than five or as odd or even by pressing one of two buttons. A letter (classification cue, A, B, X or Y) appearing on screen for 200 ms indicated which of two classifications needed to be done. Bigger/smaller five was assigned to A or B and odd/even to X or Y for half of the participants, for the other half it was the other way round. The following classification digit (1, 2, 3, 4, 6, 7, 8 or 9) was presented for 200 ms. Its presentation was framed by a fixation dot period of 1000 ms before its appearance and 2600 ms after its disappearance. Responses to the number classification task were registered in the time interval starting 200 ms and ending 1800 ms after the onset of the digit. Responses outside this time interval were regarded as missing answers. Then, the working memory task continued with a retro-cue indicating which of the two Gabor Patches would be asked for in the following working memory retrieval phase. The retro-cue was an arrow, presented for 200 ms, pointing to the side (left or right) on which the to be retrieved Gabor patch had been presented before. It was followed by a fixation dot for 1000 ms. After that, the working memory target, a Gabor Patch with a random orientation, appeared on the screen. Participants were instructed to rotate the orientation of this Gabor patch in the same orientation as the retro-cued memory item using a computer mouse. If no response was made within the time interval of 200 ms to 4500 ms after the appearance of the target stimulus, the trial continued and the working memory answer was registered as missing. After a fixation dot interval of 200 ms, the trial ended with a feedback score appearing on the screen for 300 ms. The feedback score was calculated based on performance in both tasks, however the performance in the cued, i.e., in the more important, task was weighted three times as much as the performance in the un-cued task (for details see below). The ITI was 1200 ms.
After arrival, subjects were informed in detail about the experimental procedure. They were instructed to always perform both tasks but to put more effort in the respectively cued task than in the un-cued task. To motivate them to follow the task instructions, participants were additionally told that in case they collected more feedback points than 50% of all participants, they had the opportunity to take part in a lottery. In fact, the lottery was done including all participants to not disadvantage less skillful subjects. Three participants won money in the lottery (€50, €45 and €30, respectively) which they got in addition to their normal study incentive. In addition, it was explained in detail how feedback scores were calculated.
Feedback points (FP) were assigned to responses in the following way: The maximal amount of feedback points (max) was 75 for the cued task and 25 for the un-cued task. In each trial, feedback points received for both tasks were added, and the sum (number between zero and 100) was depicted on screen accompanied by a percentage sign. Thus, performance in the cued task weighted three time as much as the performance in the un-cued task. In the number classification task, missing and incorrect answers always resulted in zero points. A response time of 200-400 ms with respect to the number classification digit resulted in the highest possible score (max). In the working memory task, missing answers or degree deviations between target and cued memory item bigger than 45° resulted in zero points. Apart from that, feedback points were assigned with the following formulas to reaction times (RT) or degree deviations: Thus, in the number classification task, subjects got a high amount of feedback points by answering as quickly and as accurately as possible. In the working memory task, they should answer as accurately as possible in order to be successful. In general, they had a higher likelihood to reach high scores if they varied their effort throughout the trial.
The experiment consisted of 10 blocks with 60 trials each, providing the possibility for breaks in between blocks. Trial order within each block was randomized. The levels of the experimental factors prioritized task (working memory task more important vs. number classification task more important), retro-cue orientation (left vs. right) and number classification type (odd/even vs. smaller/bigger five) appeared equally often within each block and co-occurrences were balanced. Participants needed roughly 2.5 h for the 10 blocks. During this time, EEG was continuously recorded. Please find additional information regarding the experimental procedure and stimulus material in the supplementary material.
EEG data acquisition and preprocessing. EEG was recorded using BrainVision Brainamp DC amplifier, BrainVision Recording software and 64 Ag/AgCl actiCAP slim active electrodes arranged according to the international 10-10 system (BrainProducts, Gilching, Germany). The ground electrode was placed at AFz and (1) www.nature.com/scientificreports/ FCz served as online reference. Data was recorded with a sampling rate of 1000 Hz and impedances were kept below 10 kΩ during recording. EEG preprocessing was based on EEGLAB 68 in combination with custom MATLAB code (R2020a, The MathWorks Inc., Natick, Massachusetts). Data were down-sampled to 200 Hz, high-pass filtered (FIR filter with Hamming window, order: 1321, transition band-width: 0.5 Hz, − 6 dB cutoff: 0.25 Hz, passband-edge: 0.5 Hz), low-pass filtered (FIR filter with Hamming window, order: 67, transition band-width: 10 Hz, − 6 dB cutoff: 45 Hz, passband-edge: 40 Hz) and re-referenced to CPz in order to be able to include the former reference position FPz in the analysis. Next, channels with poor data quality were detected and excluded from further analysis based on kurtosis and probability criteria (M = 0.54 channels, SD = 0.75 channels). After re-referencing to common average reference, data were segmented in epochs starting 3700 ms prior to and ending 13,700 ms after the relevance cue. A baseline subtraction was done using the mean of each trial. Then, trials containing artifacts were detected and deleted automatically. On average, 10.71% of trials were removed (SD = 7.92%). An independent component analysis (ICA) was performed on a random sample of the data (200 epochs). Prior to ICA, a dimensionality reduction was done, using a standard PCA and removing the 3 dimensions that explained least variance, to deal with potential linear dependencies amongst channels. After the ICA, on average, 31% independent components (SD = 10.47%) were removed per participant using the EEGLab plugin ICLabel (Pion-Tonachini et al., 2019). Finally, previously removed channels were interpolated. Please find more details on EEG preprocessing in the method section of supplementary material.
Time frequency analysis. Data were decomposed into frequency bands using complex Morlet wavelet convolution as described in Cohen 70 . The frequencies of the wavelets ranged from 2 to 20 Hz (19 wavelets, linearly spaced). They had a full width of half maximum (fwhm, Cohen 71 ) between 0.75 Hz for the lowest frequency and 4.25 Hz for the highest frequency, which corresponds to an fwhm of 1000 to 200 ms in the time domain. Power values were extracted from the complex convolution result. To diminish edge artifacts, the first and the last 700 ms of each epoch was deleted after the convolution. Raw power values were decibel-normalized using condition-unspecific baseline values based on the mean of the trials belonging to both conditions in the time interval from 700 to 200 ms prior to the relevance cue.
Lateralized power was computed based on raw power by pairing each electrode on the left hemisphere with its corresponding channel on the right hemisphere. For each electrode pair, we calculated one power average over all trials for contralateral electrodes (i.e., right hemisphere electrodes on trials in which the working memory task cue pointed to the left and left hemisphere electrodes on trials in which the working memory task cue pointed to the right) and one average for ipsilateral electrodes. Trials used for analysis were randomly drawn in a way that each combination of retro-cue direction (left vs. right) and response side in number classification (left vs. right) occurred equally often. To get a normalized asymmetry measure, we then computed a lateralization index 72-75 as follows: The index was calculated for every electrode pair, frequency, time point and subject, separately. Based on previous literature 29,30,76 , we were interested in posterior alpha asymmetry which has been observed to be a correlate of attentional shifts within working memory. We therefore averaged the index values across a posterior electrode cluster (T7/T8, C5/C6, C3(C4, C1/C2, TP9/TP10, TP7/TP8, CP5/CP6, CP3/CP4, CP1/CP2, P7/P8, P5/P6, P3/4, P1/P2, PO7/PO8, PO3/PO4, PO9/PO10, O1/O2) and across frequencies ranging from 8 to 15 Hz (see Fig. 4).
Decoding analysis. We did separate decoding analyses for both experimental conditions, i.e. for trials in which the number classification task was more important and trials in which the working memory task was more important. Within these two conditions, we decoded from the scalp topography the trial's number classification type (smaller/bigger five vs. odd /even).
Decoding was done both based on broadband ERP data as well as based on alpha power. The decoding procedure was the same in both analyses except for the features used for training the models: For ERP decoding, the preprocessed EEG data of all channels were used as features, whereas for alpha power decoding time-frequency decomposed data at eight, nine, 10, 11 and 12 Hz of all channels were used. We used (not baseline-corrected) raw power as it has been done previously 77 .
Employing Matlab scripts provided by Bae and Luck 77 , we calculated classification accuracies based on a cross-validation with linear support vector machines, applied to trial averages rather than to single trials to boost signal-to-noise ratio. Cross validation was applied to time points ranging from the onset of the relevance cue until one second after memory target onset.
In detail, we conducted decoding analyses as follows: At the beginning, data were down-sampled to 20 Hz to improve processing speed. Then, at each time point, a 15-fold cross validation was performed 10 times: Each cross validation started with randomly assigning trials belonging to a class (i.e., to either smaller/bigger 5 or to odd/ even) in 15 groups resulting in six to nine trials per group (M = 8.05, SD = 0.90). Group size was constant within each analysis and participant. If the number of trials belonging to each class was not divisible by 15, surplus trials were randomly determined and excluded from the analysis. Note that the number of trial averages per class was hence balanced in the training set. A support vector machine was then trained on the 28 data points obtained after averaging across trials belonging to a group and extracting 2 test data points. Each data points had thus 64 dimensions (or 64 * 5 dimensions in alpha decoding) as values from all 64 electrodes (and five frequencies) were used. Training was done with the Matlab function fitcecoc(). In the testing phase, the remaining two data www.nature.com/scientificreports/ points, consisting of electrode or electrode/frequency values of the two (one per class) left-out group averages, were classified based on the output model created by fitcecoc() using the Matlab function predict(). Test-and training procedure was then repeated with each group being the left-out data point once, i.e., 15 times. Thus, at each time point, 150 (10 iterations × 15 groups) class predictions were done which could be correct (the class the group really belongs to was predicted) or incorrect (the other class was predicted). Decoding accuracy at each time point was determined as the number of correct predictions divided by 150. This results in a time series of decoding accuracies per participant. Finally, these time series were smoothed using a 5-point (+ / − 100 ms) moving average window and used for statistical analyses.
Statistical analysis. For details regarding statistical analysis of behavioral data see supplementary material.
To statistically analyze EEG data, cluster-based permutation tests 78 were applied as they provide an elegant way to correct for multiple comparisons in high-dimensional EEG data.
In the non-lateralized mass-univariate time-frequency data analysis, the two experimental conditions (number classification task important and working memory task important) were compared at each pixel in the electrode x time point x frequency space to exploratively identify time points, frequencies and electrodes at which effort manipulation affects EEG activity. To this end, a cluster-based permutation test was conducted on decibelnormalized power values using the Matlab toolbox Fieldtrip 79 . The test was computed across all frequencies obtained from time-frequency decomposition, i.e. across 2-20 Hz, across all 64 electrodes and across the whole epoch starting 3000 ms prior to and ending 13,000 ms after the relevance cue (see also supplementary material).
Statistical analysis of decoding accuracies and power asymmetry values was done in two different ways: exploratively, using cluster-based permutation tests and hypothesis-driven, with Bayesian analyses applied to time intervals of interest. The cluster-based permutation tests were run over all time points of the trial between the relevance cue and 1000 ms after the onset of the working memory task target display. They were computed with the two Matlab functions cluster_test() and cluster_test_helper() which are part of the online code provided by Wolff et al. 80 . See supplementary material for more details regarding these tests.
To test for general effects, cluster-based permutation tests were used to compare lateralization indices against the case of zero asymmetry and decoding accuracies against chance level. To test for effects of the experimental manipulation, decoding accuracies and lateralization indices of working memory task important trials were compared against the respective measure obtained from number classification task important trials.
To facilitate result interpretation, a second approach was applied for decoding and lateralization index analysis: a time interval of interest analysis including Bayesian statistics. In frequentist statistics, higher p-values do not indicate more evidence for the null hypothesis. In contrast, Bayesian statistics quantifies the evidence in favor for one of both hypotheses (alternative hypothesis H1 and null hypothesis H0). The Bayes factor B 10 and its reciprocal, the reverse Bayes factor B 01 , are the likelihood ratios expressing this evidence. More exactly, B 01 is the likelihood for the measured data given that H0 is true divided by the likelihood for the measured data given that H1 is true. Thus, B 01 = 2 means that the data are twice as likely under H0 than under H1. Keysers and Wagenmakers 81 suggest that whereas 1/3 < B 01 < 3 provides not enough evidence for either hypothesis, B 01 > 3 indicates substantial evidence for H0 and likewise, B 01 < 1/3 indicates substantial evidence for H1 (see also Jeffreys, 82 ). A B 01 > 10 is considered as strong evidence for H0. The time interval of interest analysis comprised two steps: We first calculated t tests using Matlab. We then computed Bayes factors based on the outputs derived from the frequentist t test as suggested by Morey and Wagenmaker 83 , using a Matlab toolbox from Bart Krekelberg 84 . Default effect size priors from the toolbox were used (Cauchy distribution scale = 0.707). Using this approach, we compared on the one hand lateralization indices versus zero/decoding accuracies versus chance levels and on the other hand values in number classification task important trials versus values in working memory task important trials. Two-sided one-sample t tests were computed in the first case and two-sided paired t tests in the other case.
Effect sizes were calculated for significant effects. η refers to adjusted partial eta squared 85 . This is a bias-free effect size based on variance which is suited to show were pixels of a cluster are most pronounced. The letter d refers to Cohen's d. In some cases, both effect sizes are reported to provide a better comparability with other research.

Data availability
The datasets generated and analyzed during the current study and the analysis code used are available in the OSF repository, https:// osf. io/ uyhs7/ with the DOI https:// doi. org/ 10. 17605/ OSF. IO/ UYHS7.